Answer:
Match: a translation 7 units right = > E(4, 4), F(8, 3), G(10, 6), and H(8, 6)
Match: Reflection across y-axis = > E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6)
Match: Reflection across x-axis = > E(-3, -4), F(1, -3), G(3, -6), and H(1, -6)
Match: a translation 5 unit down = > E(-3, -1), F(1, -2), G(3, 1), and H(1, 1)
A) translation 7 unit Right. In this reflection x-coordinate shift 7 unit right.

B) Reflection across y-axis. In this reflection x value change their sign.

Match: Reflection across y-axis = > E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6)
C) Reflection across x-axis. In this reflection y value change their sign.

Match: Reflection across x-axis = > E(-3, -4), F(1, -3), G(3, -6), and H(1, -6)
D) a translation 5 unit down. In this translation y-coordinate will shift 5 unit down.
Match: a translation 5 unit down = > E(-3, -1), F(1, -2), G(3, 1), and H(1, 1)